Asymptotic stability of nonlinear stochastic evolution equations

Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a nonexponential decay rate. The situation containing some hereditary char...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Garrido Atienza, María José, Real Anguas, José
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23649
Acceso en línea:http://hdl.handle.net/11441/23649
https://doi.org/10.1081/SAP-120019288
Access Level:acceso abierto
Palabra clave:Asymptotic stability
Stochastic partial differential equations
Descripción
Sumario:Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a nonexponential decay rate. The situation containing some hereditary characteristics is also treated. The results are illustred with several examples.